Question

Simplify the expression.

Answer 1

Answer:

The answer is (b) cscx

Step-by-step explanation:

∵ secx = 1/cosx

∵ tanx = sinx/cosx

∴ secx/tanx = 1/cosx ÷ sinx/cosx

                   = 1/cosx × cosx/sinx

                   = cscx

Answer 2

Answer:

Choice b is the answer.

Step-by-step explanation:

We have given an expression.

$\frac{secx}{tanx}$

We have to simplify given expression.

Since, we know that

secx is reciprocal of cosx.

$secx=\frac{1}{cosx}$

tanx is ratio of sinx to cosx.

$tanx=\frac{sinx}{cosx}$

Putting above formulas in given expression ,we have

$\frac{1}{cosx}$ ÷ $\frac{sinx}{cosx}$

$\frac{1}{cosx}$ × $\frac{cosx}{sinx}$

$\frac{1}{sinx}$

Hence, cscx is reciprocal of sinx.

$\frac{secx}{tanx}$ = cscx